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Finding the Third Proportional to 156,980 and 339,108

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Solution

The third proportional to 156,980 and 339,108 is: 732,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980 : 339,108 = 339,108 : x
  2. Step 2: Convert to fraction form
    156,980/339,108 = 339,108/x
  3. Step 3: Cross multiply
    156,980x = 339,108 × 339,108
  4. Step 4: Simplify right side
    156,980x = 114,994,235,664
  5. Step 5: Solve for x
    x = 114,994,235,664/156,980
  6. Step 6: Final answer
    x = 732,540.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.